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In-s [12.5K]
3 years ago
11

Question 6 (1 point)

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Answer:

Zero

Step-by-step explanation:

3x - 7 = 3x - 9 + 2

3x - 7 = 3x - 7

Add 7 on both sides

3x = 3x

Subtract 3x you get 0.

Hope this helps.

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If I could get some help it would be very much appreciated
raketka [301]

Answer:

Step-by-step explanation:

A circle is 360 degrees. What we are asked in words is, "How many degrees is 40% of 360?" Let x be "how many degrees"; the word "is" means =; 40% as a decimal is .4; the word of in this context means to multiply; and 360 is just 360. Putting all that together into an equation we can solve for x:

x = .4(360) so

x = 144

Adventure movies covers 144 degrees of that circle.

5 0
3 years ago
Read 2 more answers
Find the coordinates of the circumcenter of triangle ABC with vertices A(1,4) B(1,2) and C(6,2)
Ray Of Light [21]
<span>(3.5, 3) is the circumcenter of triangle ABC. The circumcenter of a triangle is the intersection of the perpendicular bisectors of each side. All three of these perpendicular bisectors will intersect at the same point. So you have a nice self check to make sure your math is correct. Now let's calculate the equation for these bisectors. Line segment AB: Slope (4-2)/(1-1) = 2/0 = infinity. This line segment is perfectly vertical. So the bisector will be perfectly horizontal, and will pass through ((1+1)/2, (4+2)/2) = (2/2, 6/2) = (1,3). So the equation for this perpendicular bisector is y = 3. Line segment BC (2-2)/(6-1) = 0/5 = 0 This line segment is perfectly horizontal. So the bisector will be perfectly vertical, and will pass through ((1+6)/2,(2+2)/2) = (7/2, 4/2) = (3.5, 2) So the equation for this perpendicular bisector is x=3.5 So those two bisectors will intersect at point (3.5,3) which is the circumcenter of triangle ABC. Now let's do a cross check to make sure that's correct. Line segment AC Slope = (4-2)/(1-6) = 2/-5 = -2/5 The perpendicular will have slope 5/2 = 2.5. So the equation is of the form y = 2.5*x + b And will pass through the point ((1+6)/2, (4+2)/2) = (7/2, 6/2) = (3.5, 3) Plug in those coordinates and calculate b. y = 2.5x + b 3 = 2.5*3.5 + b 3 = 8.75 + b -5.75 = b So the equation for the 3rd bisector is y = 2.5x - 5.75 Now let's check if the intersection with this line against the other 2 works. Determining intersection between bisector of AC and AB y = 2.5x - 5.75 y = 3 3 = 2.5x - 5.75 8.75 = 2.5x 3.5 = x And we get the correct value. Now to check AC and BC y = 2.5x - 5.75 x = 3.5 y = 2.5*3.5 - 5.75 y = 8.75 - 5.75 y = 3 And we still get the correct intersection.</span>
6 0
3 years ago
Read 2 more answers
What is the true solution In 20+In 5=2 In x?
S_A_V [24]

Answer:

x = 10

Step-by-step explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

• logx^{n} ⇔ n log x

• log x = log y ⇒ x = y

Given

ln20 + ln5 = 2 lnx , then

ln(20 × 5) = lnx^{2}

ln 100 = lnx^{2}, hence

x² = 100 ( take the square root of both sides )

x = 10

7 0
3 years ago
What is the value of b in ax - by = -5
m_a_m_a [10]

Answer:

D,

Step-by-step explanation:

the is the value of b in ax -by =-5

D , cant isolate b

5 0
3 years ago
When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling
bulgar [2K]

Answer:

Selling price= $580

Step-by-step explanation:

eGiving the following information:

Buying price= $400

Mark-up percentage= 45% = 0.45

<u>The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.</u>

Mark-up= buying price* Mark-up percentage

Mark-up= 400*0.45

Mark-up= $180

<u>Now, the selling price:</u>

Selling price= 400 + 180

Selling price= $580

4 0
3 years ago
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